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Simplifying -4x + 3(3x + 2) = 2(2x + -1) + 13 Reorder the terms: -4x + 3(2 + 3x) = 2(2x + -1) + 13 -4x + (2 * 3 + 3x * 3) = 2(2x + -1) + 13 -4x + (6 + 9x) = 2(2x + -1) + 13 Reorder the terms: 6 + -4x + 9x = 2(2x + -1) + 13 Combine like terms: -4x + 9x = 5x 6 + 5x = 2(2x + -1) + 13 Reorder the terms: 6 + 5x = 2(-1 + 2x) + 13 6 + 5x = (-1 * 2 + 2x * 2) + 13 6 + 5x = (-2 + 4x) + 13 Reorder the terms: 6 + 5x = -2 + 13 + 4x Combine like terms: -2 + 13 = 11 6 + 5x = 11 + 4x Solving 6 + 5x = 11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 5x + -4x = 11 + 4x + -4x Combine like terms: 5x + -4x = 1x 6 + 1x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 1x = 11 + 0 6 + 1x = 11 Add '-6' to each side of the equation. 6 + -6 + 1x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 11 + -6 1x = 11 + -6 Combine like terms: 11 + -6 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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